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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG180+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sKe9tTK0nF true

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:28:09 PM UTC 2025

% Result   : Theorem 0.58s 0.84s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  224 (  99 unt;   0 typ;   0 def)
%            Number of atoms       :  659 ( 658 equ;   0 cnn)
%            Maximal formula atoms :  110 (   2 avg)
%            Number of connectives : 1949 (  64   ~; 130   |; 203   &;1450   @)
%                                         (   0 <=>;   2  =>; 100  <=;   0 <~>)
%            Maximal formula depth :   63 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e21_type,type,
    e21: $i ).

thf(op1_type,type,
    op1: $i > $i > $i ).

thf(e20_type,type,
    e20: $i ).

thf(e22_type,type,
    e22: $i ).

thf(j_type,type,
    j: $i > $i ).

thf(e14_type,type,
    e14: $i ).

thf(e24_type,type,
    e24: $i ).

thf(e13_type,type,
    e13: $i ).

thf(h_type,type,
    h: $i > $i ).

thf(e12_type,type,
    e12: $i ).

thf(e11_type,type,
    e11: $i ).

thf(e10_type,type,
    e10: $i ).

thf(op2_type,type,
    op2: $i > $i > $i ).

thf(e23_type,type,
    e23: $i ).

thf(co1,conjecture,
    ( ( ( ( ( h @ e10 )
          = e20 )
        | ( ( h @ e10 )
          = e21 )
        | ( ( h @ e10 )
          = e22 )
        | ( ( h @ e10 )
          = e23 )
        | ( ( h @ e10 )
          = e24 ) )
      & ( ( ( h @ e11 )
          = e20 )
        | ( ( h @ e11 )
          = e21 )
        | ( ( h @ e11 )
          = e22 )
        | ( ( h @ e11 )
          = e23 )
        | ( ( h @ e11 )
          = e24 ) )
      & ( ( ( h @ e12 )
          = e20 )
        | ( ( h @ e12 )
          = e21 )
        | ( ( h @ e12 )
          = e22 )
        | ( ( h @ e12 )
          = e23 )
        | ( ( h @ e12 )
          = e24 ) )
      & ( ( ( h @ e13 )
          = e20 )
        | ( ( h @ e13 )
          = e21 )
        | ( ( h @ e13 )
          = e22 )
        | ( ( h @ e13 )
          = e23 )
        | ( ( h @ e13 )
          = e24 ) )
      & ( ( ( h @ e14 )
          = e20 )
        | ( ( h @ e14 )
          = e21 )
        | ( ( h @ e14 )
          = e22 )
        | ( ( h @ e14 )
          = e23 )
        | ( ( h @ e14 )
          = e24 ) )
      & ( ( ( j @ e20 )
          = e10 )
        | ( ( j @ e20 )
          = e11 )
        | ( ( j @ e20 )
          = e12 )
        | ( ( j @ e20 )
          = e13 )
        | ( ( j @ e20 )
          = e14 ) )
      & ( ( ( j @ e21 )
          = e10 )
        | ( ( j @ e21 )
          = e11 )
        | ( ( j @ e21 )
          = e12 )
        | ( ( j @ e21 )
          = e13 )
        | ( ( j @ e21 )
          = e14 ) )
      & ( ( ( j @ e22 )
          = e10 )
        | ( ( j @ e22 )
          = e11 )
        | ( ( j @ e22 )
          = e12 )
        | ( ( j @ e22 )
          = e13 )
        | ( ( j @ e22 )
          = e14 ) )
      & ( ( ( j @ e23 )
          = e10 )
        | ( ( j @ e23 )
          = e11 )
        | ( ( j @ e23 )
          = e12 )
        | ( ( j @ e23 )
          = e13 )
        | ( ( j @ e23 )
          = e14 ) )
      & ( ( ( j @ e24 )
          = e10 )
        | ( ( j @ e24 )
          = e11 )
        | ( ( j @ e24 )
          = e12 )
        | ( ( j @ e24 )
          = e13 )
        | ( ( j @ e24 )
          = e14 ) ) )
   => ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e10 @ e14 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e11 @ e14 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e12 @ e14 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e13 @ e14 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e14 @ e10 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e14 @ e11 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e14 @ e12 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e14 @ e13 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e14 @ e14 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
        & ( ( j @ ( op2 @ e20 @ e20 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e20 @ e21 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e20 @ e22 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e20 @ e23 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e20 @ e24 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e21 @ e20 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e21 @ e21 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e21 @ e22 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e21 @ e23 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e21 @ e24 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e22 @ e20 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e22 @ e21 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e22 @ e22 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e22 @ e23 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e22 @ e24 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e23 @ e20 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e23 @ e21 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e23 @ e22 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e23 @ e23 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e23 @ e24 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e24 @ e20 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e24 @ e21 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e24 @ e22 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e24 @ e23 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e24 @ e24 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
        & ( ( h @ ( j @ e20 ) )
          = e20 )
        & ( ( h @ ( j @ e21 ) )
          = e21 )
        & ( ( h @ ( j @ e22 ) )
          = e22 )
        & ( ( h @ ( j @ e23 ) )
          = e23 )
        & ( ( h @ ( j @ e24 ) )
          = e24 )
        & ( ( j @ ( h @ e10 ) )
          = e10 )
        & ( ( j @ ( h @ e11 ) )
          = e11 )
        & ( ( j @ ( h @ e12 ) )
          = e12 )
        & ( ( j @ ( h @ e13 ) )
          = e13 )
        & ( ( j @ ( h @ e14 ) )
          = e14 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( ( h @ e10 )
            = e20 )
          | ( ( h @ e10 )
            = e21 )
          | ( ( h @ e10 )
            = e22 )
          | ( ( h @ e10 )
            = e23 )
          | ( ( h @ e10 )
            = e24 ) )
        & ( ( ( h @ e11 )
            = e20 )
          | ( ( h @ e11 )
            = e21 )
          | ( ( h @ e11 )
            = e22 )
          | ( ( h @ e11 )
            = e23 )
          | ( ( h @ e11 )
            = e24 ) )
        & ( ( ( h @ e12 )
            = e20 )
          | ( ( h @ e12 )
            = e21 )
          | ( ( h @ e12 )
            = e22 )
          | ( ( h @ e12 )
            = e23 )
          | ( ( h @ e12 )
            = e24 ) )
        & ( ( ( h @ e13 )
            = e20 )
          | ( ( h @ e13 )
            = e21 )
          | ( ( h @ e13 )
            = e22 )
          | ( ( h @ e13 )
            = e23 )
          | ( ( h @ e13 )
            = e24 ) )
        & ( ( ( h @ e14 )
            = e20 )
          | ( ( h @ e14 )
            = e21 )
          | ( ( h @ e14 )
            = e22 )
          | ( ( h @ e14 )
            = e23 )
          | ( ( h @ e14 )
            = e24 ) )
        & ( ( ( j @ e20 )
            = e10 )
          | ( ( j @ e20 )
            = e11 )
          | ( ( j @ e20 )
            = e12 )
          | ( ( j @ e20 )
            = e13 )
          | ( ( j @ e20 )
            = e14 ) )
        & ( ( ( j @ e21 )
            = e10 )
          | ( ( j @ e21 )
            = e11 )
          | ( ( j @ e21 )
            = e12 )
          | ( ( j @ e21 )
            = e13 )
          | ( ( j @ e21 )
            = e14 ) )
        & ( ( ( j @ e22 )
            = e10 )
          | ( ( j @ e22 )
            = e11 )
          | ( ( j @ e22 )
            = e12 )
          | ( ( j @ e22 )
            = e13 )
          | ( ( j @ e22 )
            = e14 ) )
        & ( ( ( j @ e23 )
            = e10 )
          | ( ( j @ e23 )
            = e11 )
          | ( ( j @ e23 )
            = e12 )
          | ( ( j @ e23 )
            = e13 )
          | ( ( j @ e23 )
            = e14 ) )
        & ( ( ( j @ e24 )
            = e10 )
          | ( ( j @ e24 )
            = e11 )
          | ( ( j @ e24 )
            = e12 )
          | ( ( j @ e24 )
            = e13 )
          | ( ( j @ e24 )
            = e14 ) ) )
     => ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e10 @ e11 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e10 @ e12 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e10 @ e13 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e10 @ e14 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e11 @ e10 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e11 @ e11 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e11 @ e12 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e11 @ e13 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e11 @ e14 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e12 @ e10 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e12 @ e11 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e12 @ e12 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e12 @ e13 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e12 @ e14 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e13 @ e10 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e13 @ e11 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e13 @ e12 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e13 @ e13 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e13 @ e14 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e14 @ e10 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e14 @ e11 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e14 @ e12 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e14 @ e13 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e14 @ e14 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
          & ( ( j @ ( op2 @ e20 @ e20 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e20 @ e21 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e20 @ e22 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e20 @ e23 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e20 @ e24 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e21 @ e20 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e21 @ e21 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e21 @ e22 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e21 @ e23 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e21 @ e24 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e22 @ e20 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e22 @ e21 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e22 @ e22 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e22 @ e23 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e22 @ e24 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e23 @ e20 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e23 @ e21 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e23 @ e22 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e23 @ e23 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e23 @ e24 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e24 @ e20 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e24 @ e21 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e24 @ e22 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e24 @ e23 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e24 @ e24 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
          & ( ( h @ ( j @ e20 ) )
            = e20 )
          & ( ( h @ ( j @ e21 ) )
            = e21 )
          & ( ( h @ ( j @ e22 ) )
            = e22 )
          & ( ( h @ ( j @ e23 ) )
            = e23 )
          & ( ( h @ ( j @ e24 ) )
            = e24 )
          & ( ( j @ ( h @ e10 ) )
            = e10 )
          & ( ( j @ ( h @ e11 ) )
            = e11 )
          & ( ( j @ ( h @ e12 ) )
            = e12 )
          & ( ( j @ ( h @ e13 ) )
            = e13 )
          & ( ( j @ ( h @ e14 ) )
            = e14 ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl116,plain,
    ( ( h @ ( op1 @ e12 @ e11 ) )
    = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax4,axiom,
    ( ( ( op1 @ e14 @ e14 )
      = e11 )
    & ( ( op1 @ e14 @ e13 )
      = e13 )
    & ( ( op1 @ e14 @ e12 )
      = e14 )
    & ( ( op1 @ e14 @ e11 )
      = e10 )
    & ( ( op1 @ e14 @ e10 )
      = e12 )
    & ( ( op1 @ e13 @ e14 )
      = e12 )
    & ( ( op1 @ e13 @ e13 )
      = e10 )
    & ( ( op1 @ e13 @ e12 )
      = e13 )
    & ( ( op1 @ e13 @ e11 )
      = e11 )
    & ( ( op1 @ e13 @ e10 )
      = e14 )
    & ( ( op1 @ e12 @ e14 )
      = e10 )
    & ( ( op1 @ e12 @ e13 )
      = e14 )
    & ( ( op1 @ e12 @ e12 )
      = e12 )
    & ( ( op1 @ e12 @ e11 )
      = e13 )
    & ( ( op1 @ e12 @ e10 )
      = e11 )
    & ( ( op1 @ e11 @ e14 )
      = e13 )
    & ( ( op1 @ e11 @ e13 )
      = e12 )
    & ( ( op1 @ e11 @ e12 )
      = e11 )
    & ( ( op1 @ e11 @ e11 )
      = e14 )
    & ( ( op1 @ e11 @ e10 )
      = e10 )
    & ( ( op1 @ e10 @ e14 )
      = e14 )
    & ( ( op1 @ e10 @ e13 )
      = e11 )
    & ( ( op1 @ e10 @ e12 )
      = e10 )
    & ( ( op1 @ e10 @ e11 )
      = e12 )
    & ( ( op1 @ e10 @ e10 )
      = e13 ) ) ).

thf(zip_derived_cl58,plain,
    ( ( op1 @ e12 @ e11 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl95,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl105,plain,
    ( ( h @ ( op1 @ e10 @ e10 ) )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ( op1 @ e10 @ e10 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl544,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl546,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e21 @ e21 ) )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl544]) ).

thf(ax5,axiom,
    ( ( ( op2 @ e24 @ e24 )
      = e20 )
    & ( ( op2 @ e24 @ e23 )
      = e24 )
    & ( ( op2 @ e24 @ e22 )
      = e21 )
    & ( ( op2 @ e24 @ e21 )
      = e23 )
    & ( ( op2 @ e24 @ e20 )
      = e22 )
    & ( ( op2 @ e23 @ e24 )
      = e21 )
    & ( ( op2 @ e23 @ e23 )
      = e22 )
    & ( ( op2 @ e23 @ e22 )
      = e24 )
    & ( ( op2 @ e23 @ e21 )
      = e20 )
    & ( ( op2 @ e23 @ e20 )
      = e23 )
    & ( ( op2 @ e22 @ e24 )
      = e22 )
    & ( ( op2 @ e22 @ e23 )
      = e20 )
    & ( ( op2 @ e22 @ e22 )
      = e23 )
    & ( ( op2 @ e22 @ e21 )
      = e24 )
    & ( ( op2 @ e22 @ e20 )
      = e21 )
    & ( ( op2 @ e21 @ e24 )
      = e24 )
    & ( ( op2 @ e21 @ e23 )
      = e23 )
    & ( ( op2 @ e21 @ e22 )
      = e22 )
    & ( ( op2 @ e21 @ e21 )
      = e21 )
    & ( ( op2 @ e21 @ e20 )
      = e20 )
    & ( ( op2 @ e20 @ e24 )
      = e23 )
    & ( ( op2 @ e20 @ e23 )
      = e21 )
    & ( ( op2 @ e20 @ e22 )
      = e20 )
    & ( ( op2 @ e20 @ e21 )
      = e22 )
    & ( ( op2 @ e20 @ e20 )
      = e24 ) ) ).

thf(zip_derived_cl88,plain,
    ( ( op2 @ e21 @ e21 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl558,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).

thf(zip_derived_cl108,plain,
    ( ( h @ ( op1 @ e10 @ e13 ) )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ( ( op1 @ e10 @ e13 )
    = e11 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl713,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl721,plain,
    ( ( ( h @ e11 )
      = ( op2 @ ( h @ e10 ) @ e21 ) )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl558,zip_derived_cl713]) ).

thf(zip_derived_cl166_001,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl88_002,plain,
    ( ( op2 @ e21 @ e21 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl733,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl721,zip_derived_cl166,zip_derived_cl88]) ).

thf(zip_derived_cl106,plain,
    ( ( h @ ( op1 @ e10 @ e11 ) )
    = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ( ( op1 @ e10 @ e11 )
    = e12 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl601,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).

thf(zip_derived_cl774,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e10 ) @ e21 ) )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl601]) ).

thf(zip_derived_cl166_003,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl88_004,plain,
    ( ( op2 @ e21 @ e21 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl781,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl774,zip_derived_cl166,zip_derived_cl88]) ).

thf(zip_derived_cl167,plain,
    ( ( ( h @ e10 )
      = e22 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl110,plain,
    ( ( h @ ( op1 @ e11 @ e10 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ( ( op1 @ e11 @ e10 )
    = e10 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl815,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64]) ).

thf(zip_derived_cl818,plain,
    ( ( e22
      = ( op2 @ ( h @ e11 ) @ e22 ) )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl815]) ).

thf(zip_derived_cl167_005,plain,
    ( ( ( h @ e10 )
      = e22 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_006,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl547,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e22 @ e22 ) )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl544]) ).

thf(zip_derived_cl82,plain,
    ( ( op2 @ e22 @ e22 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl559,plain,
    ( ( ( h @ e13 )
      = e23 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl82]) ).

thf(zip_derived_cl713_007,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl722,plain,
    ( ( ( h @ e11 )
      = ( op2 @ ( h @ e10 ) @ e23 ) )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl559,zip_derived_cl713]) ).

thf(zip_derived_cl167_008,plain,
    ( ( ( h @ e10 )
      = e22 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl81,plain,
    ( ( op2 @ e22 @ e23 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl734,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl167,zip_derived_cl81]) ).

thf(zip_derived_cl92,plain,
    ( ( op2 @ e20 @ e22 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl835,plain,
    ( ( e22 = e20 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl818,zip_derived_cl734,zip_derived_cl92]) ).

thf(ax2,axiom,
    ( ( e23 != e24 )
    & ( e22 != e24 )
    & ( e22 != e23 )
    & ( e21 != e24 )
    & ( e21 != e23 )
    & ( e21 != e22 )
    & ( e20 != e24 )
    & ( e20 != e23 )
    & ( e20 != e22 )
    & ( e20 != e21 ) ) ).

thf(zip_derived_cl18,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('0',plain,
    ( ( h @ e10 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl835,zip_derived_cl18]) ).

thf(zip_derived_cl168,plain,
    ( ( ( h @ e10 )
      = e23 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl815_009,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64]) ).

thf(zip_derived_cl819,plain,
    ( ( e23
      = ( op2 @ ( h @ e11 ) @ e23 ) )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl815]) ).

thf(zip_derived_cl168_010,plain,
    ( ( ( h @ e10 )
      = e23 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_011,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl548,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e23 @ e23 ) )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl544]) ).

thf(zip_derived_cl76,plain,
    ( ( op2 @ e23 @ e23 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl560,plain,
    ( ( ( h @ e13 )
      = e22 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl76]) ).

thf(zip_derived_cl713_012,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl723,plain,
    ( ( ( h @ e11 )
      = ( op2 @ ( h @ e10 ) @ e22 ) )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl560,zip_derived_cl713]) ).

thf(zip_derived_cl168_013,plain,
    ( ( ( h @ e10 )
      = e23 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl77,plain,
    ( ( op2 @ e23 @ e22 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl735,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl723,zip_derived_cl168,zip_derived_cl77]) ).

thf(zip_derived_cl71,plain,
    ( ( op2 @ e24 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl837,plain,
    ( ( e23 = e24 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl819,zip_derived_cl735,zip_derived_cl71]) ).

thf(zip_derived_cl10,plain,
    e23 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('1',plain,
    ( ( h @ e10 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl837,zip_derived_cl10]) ).

thf(zip_derived_cl165,plain,
    ( ( ( h @ e10 )
      = e20 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl815_014,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64]) ).

thf(zip_derived_cl816,plain,
    ( ( e20
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl815]) ).

thf(zip_derived_cl165_015,plain,
    ( ( ( h @ e10 )
      = e20 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_016,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl545,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e20 @ e20 ) )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl544]) ).

thf(zip_derived_cl94,plain,
    ( ( op2 @ e20 @ e20 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl557,plain,
    ( ( ( h @ e13 )
      = e24 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl545,zip_derived_cl94]) ).

thf(zip_derived_cl713_017,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl720,plain,
    ( ( ( h @ e11 )
      = ( op2 @ ( h @ e10 ) @ e24 ) )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl713]) ).

thf(zip_derived_cl165_018,plain,
    ( ( ( h @ e10 )
      = e20 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl90,plain,
    ( ( op2 @ e20 @ e24 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl732,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl720,zip_derived_cl165,zip_derived_cl90]) ).

thf(zip_derived_cl79,plain,
    ( ( op2 @ e23 @ e20 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl832,plain,
    ( ( e20 = e23 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl816,zip_derived_cl732,zip_derived_cl79]) ).

thf(zip_derived_cl17,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('2',plain,
    ( ( h @ e10 )
   != e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl832,zip_derived_cl17]) ).

thf(zip_derived_cl169,plain,
    ( ( ( h @ e10 )
      = e24 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_019,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl549,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e24 @ e24 ) )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl544]) ).

thf(zip_derived_cl70,plain,
    ( ( op2 @ e24 @ e24 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl561,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl70]) ).

thf(zip_derived_cl713_020,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl724,plain,
    ( ( ( h @ e11 )
      = ( op2 @ ( h @ e10 ) @ e20 ) )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl561,zip_derived_cl713]) ).

thf(zip_derived_cl169_021,plain,
    ( ( ( h @ e10 )
      = e24 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl74,plain,
    ( ( op2 @ e24 @ e20 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl736,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl724,zip_derived_cl169,zip_derived_cl74]) ).

thf(zip_derived_cl815_022,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64]) ).

thf(zip_derived_cl882,plain,
    ( ( ( h @ e10 )
      = ( op2 @ e22 @ ( h @ e10 ) ) )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl815]) ).

thf(zip_derived_cl169_023,plain,
    ( ( ( h @ e10 )
      = e24 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl169_024,plain,
    ( ( ( h @ e10 )
      = e24 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl80,plain,
    ( ( op2 @ e22 @ e24 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl892,plain,
    ( ( e24 = e22 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl169,zip_derived_cl169,zip_derived_cl80]) ).

thf(zip_derived_cl11,plain,
    e22 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('3',plain,
    ( ( h @ e10 )
   != e24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl892,zip_derived_cl11]) ).

thf('4',plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('5',plain,
    ( ( h @ e10 )
    = e21 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl956,plain,
    ( ( h @ e12 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl781,'5']) ).

thf(zip_derived_cl166_025,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl713_026,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).

thf(zip_derived_cl727,plain,
    ( ( ( h @ e11 )
      = ( op2 @ e21 @ ( h @ e13 ) ) )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl713]) ).

thf(zip_derived_cl558_027,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).

thf(zip_derived_cl88_028,plain,
    ( ( op2 @ e21 @ e21 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl739,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl558,zip_derived_cl88]) ).

thf('6',plain,
    ( ( h @ e10 )
    = e21 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl913,plain,
    ( ( h @ e11 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl739,'6']) ).

thf(zip_derived_cl88_029,plain,
    ( ( op2 @ e21 @ e21 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl970,plain,
    ( ( h @ e13 )
    = e21 ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl58,zip_derived_cl956,zip_derived_cl913,zip_derived_cl88]) ).

thf(zip_derived_cl99,plain,
    ( ( ( h @ e14 )
      = e20 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( h @ e14 )
      = e22 )
    | ( ( h @ e14 )
      = e23 )
    | ( ( h @ e14 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl185,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e14 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl114,plain,
    ( ( h @ ( op1 @ e11 @ e14 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( op1 @ e11 @ e14 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl913_030,plain,
    ( ( h @ e11 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl739,'6']) ).

thf(zip_derived_cl930,plain,
    ( ( h @ e13 )
    = ( op2 @ e21 @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60,zip_derived_cl913]) ).

thf(zip_derived_cl931,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e21 @ e20 ) )
   <= ( ( h @ e14 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl930]) ).

thf(zip_derived_cl89,plain,
    ( ( op2 @ e21 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl937,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e14 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl931,zip_derived_cl89]) ).

thf(zip_derived_cl100,plain,
    ( ( ( j @ e20 )
      = e10 )
    | ( ( j @ e20 )
      = e11 )
    | ( ( j @ e20 )
      = e12 )
    | ( ( j @ e20 )
      = e13 )
    | ( ( j @ e20 )
      = e14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ( ( ( j @ e20 )
      = e14 )
   <= ( ( j @ e20 )
      = e14 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl155,plain,
    ( ( h @ ( j @ e20 ) )
    = e20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( j @ e20 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).

thf(zip_derived_cl186,plain,
    ( ( ( h @ e14 )
      = e21 )
   <= ( ( h @ e14 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl593,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e14 )
        = e21 )
      & ( ( j @ e20 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl186]) ).

thf(zip_derived_cl19,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('7',plain,
    ( ( ( h @ e14 )
     != e21 )
    | ( ( j @ e20 )
     != e14 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl593,zip_derived_cl19]) ).

thf(zip_derived_cl535_031,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( j @ e20 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).

thf(zip_derived_cl187,plain,
    ( ( ( h @ e14 )
      = e22 )
   <= ( ( h @ e14 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl594,plain,
    ( ( e20 = e22 )
   <= ( ( ( h @ e14 )
        = e22 )
      & ( ( j @ e20 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl187]) ).

thf(zip_derived_cl18_032,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('8',plain,
    ( ( ( h @ e14 )
     != e22 )
    | ( ( j @ e20 )
     != e14 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl594,zip_derived_cl18]) ).

thf(zip_derived_cl535_033,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( j @ e20 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).

thf(zip_derived_cl189,plain,
    ( ( ( h @ e14 )
      = e24 )
   <= ( ( h @ e14 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl596,plain,
    ( ( e20 = e24 )
   <= ( ( ( h @ e14 )
        = e24 )
      & ( ( j @ e20 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl189]) ).

thf(zip_derived_cl16,plain,
    e20 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('9',plain,
    ( ( ( h @ e14 )
     != e24 )
    | ( ( j @ e20 )
     != e14 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl596,zip_derived_cl16]) ).

thf(zip_derived_cl558_034,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).

thf(zip_derived_cl193,plain,
    ( ( ( j @ e20 )
      = e13 )
   <= ( ( j @ e20 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl155_035,plain,
    ( ( h @ ( j @ e20 ) )
    = e20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( j @ e20 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl155]) ).

thf(zip_derived_cl628,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e10 )
        = e21 )
      & ( ( j @ e20 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl558,zip_derived_cl534]) ).

thf(zip_derived_cl19_036,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('10',plain,
    ( ( ( j @ e20 )
     != e13 )
    | ( ( h @ e10 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl628,zip_derived_cl19]) ).

thf(zip_derived_cl913_037,plain,
    ( ( h @ e11 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl739,'6']) ).

thf(zip_derived_cl96,plain,
    ( ( ( h @ e11 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e11 )
      = e22 )
    | ( ( h @ e11 )
      = e23 )
    | ( ( h @ e11 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl919,plain,
    ( ( e21 = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl913,zip_derived_cl170]) ).

thf(zip_derived_cl19_038,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('11',plain,
    ( ( h @ e11 )
   != e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl919,zip_derived_cl19]) ).

thf(zip_derived_cl913_039,plain,
    ( ( h @ e11 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl739,'6']) ).

thf(zip_derived_cl172,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl920,plain,
    ( ( e21 = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl913,zip_derived_cl172]) ).

thf(zip_derived_cl15,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('12',plain,
    ( ( h @ e11 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl920,zip_derived_cl15]) ).

thf(zip_derived_cl191,plain,
    ( ( ( j @ e20 )
      = e11 )
   <= ( ( j @ e20 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl155_040,plain,
    ( ( h @ ( j @ e20 ) )
    = e20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl532,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( j @ e20 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).

thf(zip_derived_cl174,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl572,plain,
    ( ( e20 = e24 )
   <= ( ( ( h @ e11 )
        = e24 )
      & ( ( j @ e20 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl174]) ).

thf(zip_derived_cl16_041,plain,
    e20 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('13',plain,
    ( ( ( j @ e20 )
     != e11 )
    | ( ( h @ e11 )
     != e24 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl572,zip_derived_cl16]) ).

thf(zip_derived_cl532_042,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( j @ e20 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).

thf(zip_derived_cl173,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl571,plain,
    ( ( e20 = e23 )
   <= ( ( ( h @ e11 )
        = e23 )
      & ( ( j @ e20 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl173]) ).

thf(zip_derived_cl17_043,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('14',plain,
    ( ( ( h @ e11 )
     != e23 )
    | ( ( j @ e20 )
     != e11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl571,zip_derived_cl17]) ).

thf(zip_derived_cl532_044,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( j @ e20 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).

thf(zip_derived_cl171,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl569,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e21 )
      & ( ( j @ e20 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl171]) ).

thf(zip_derived_cl19_045,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('15',plain,
    ( ( ( j @ e20 )
     != e11 )
    | ( ( h @ e11 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl569,zip_derived_cl19]) ).

thf('16',plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e11 )
      = e24 )
    | ( ( h @ e11 )
      = e20 )
    | ( ( h @ e11 )
      = e23 )
    | ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl190,plain,
    ( ( ( j @ e20 )
      = e10 )
   <= ( ( j @ e20 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl155_046,plain,
    ( ( h @ ( j @ e20 ) )
    = e20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl531,plain,
    ( ( ( h @ e10 )
      = e20 )
   <= ( ( j @ e20 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl155]) ).

thf(zip_derived_cl166_047,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl536,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e10 )
        = e21 )
      & ( ( j @ e20 )
        = e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl531,zip_derived_cl166]) ).

thf(zip_derived_cl19_048,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('17',plain,
    ( ( ( j @ e20 )
     != e10 )
    | ( ( h @ e10 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl536,zip_derived_cl19]) ).

thf(zip_derived_cl956_049,plain,
    ( ( h @ e12 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl781,'5']) ).

thf(zip_derived_cl97,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177,plain,
    ( ( ( h @ e12 )
      = e22 )
   <= ( ( h @ e12 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl961,plain,
    ( ( e21 = e22 )
   <= ( ( h @ e12 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl177]) ).

thf(zip_derived_cl15_050,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('18',plain,
    ( ( h @ e12 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl961,zip_derived_cl15]) ).

thf(zip_derived_cl956_051,plain,
    ( ( h @ e12 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl781,'5']) ).

thf(zip_derived_cl175,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e12 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl960,plain,
    ( ( e21 = e20 )
   <= ( ( h @ e12 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl175]) ).

thf(zip_derived_cl19_052,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('19',plain,
    ( ( h @ e12 )
   != e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl960,zip_derived_cl19]) ).

thf(zip_derived_cl956_053,plain,
    ( ( h @ e12 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl781,'5']) ).

thf(zip_derived_cl178,plain,
    ( ( ( h @ e12 )
      = e23 )
   <= ( ( h @ e12 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl962,plain,
    ( ( e21 = e23 )
   <= ( ( h @ e12 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl178]) ).

thf(zip_derived_cl14,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('20',plain,
    ( ( h @ e12 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl962,zip_derived_cl14]) ).

thf(zip_derived_cl956_054,plain,
    ( ( h @ e12 )
    = e21 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl781,'5']) ).

thf(zip_derived_cl179,plain,
    ( ( ( h @ e12 )
      = e24 )
   <= ( ( h @ e12 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl963,plain,
    ( ( e21 = e24 )
   <= ( ( h @ e12 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl179]) ).

thf(zip_derived_cl13,plain,
    e21 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('21',plain,
    ( ( h @ e12 )
   != e24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl963,zip_derived_cl13]) ).

thf('22',plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl192,plain,
    ( ( ( j @ e20 )
      = e12 )
   <= ( ( j @ e20 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl155_055,plain,
    ( ( h @ ( j @ e20 ) )
    = e20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( j @ e20 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl155]) ).

thf(zip_derived_cl176,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( h @ e12 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl577,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e12 )
        = e21 )
      & ( ( j @ e20 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl176]) ).

thf(zip_derived_cl19_056,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('23',plain,
    ( ( ( j @ e20 )
     != e12 )
    | ( ( h @ e12 )
     != e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl577,zip_derived_cl19]) ).

thf('24',plain,
    ( ( ( j @ e20 )
      = e14 )
    | ( ( j @ e20 )
      = e12 )
    | ( ( j @ e20 )
      = e10 )
    | ( ( j @ e20 )
      = e11 )
    | ( ( j @ e20 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl535_057,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( j @ e20 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).

thf(zip_derived_cl188,plain,
    ( ( ( h @ e14 )
      = e23 )
   <= ( ( h @ e14 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl595,plain,
    ( ( e20 = e23 )
   <= ( ( ( h @ e14 )
        = e23 )
      & ( ( j @ e20 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl188]) ).

thf(zip_derived_cl17_058,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('25',plain,
    ( ( ( h @ e14 )
     != e23 )
    | ( ( j @ e20 )
     != e14 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl595,zip_derived_cl17]) ).

thf('26',plain,
    ( ( ( h @ e14 )
      = e20 )
    | ( ( h @ e14 )
      = e23 )
    | ( ( h @ e14 )
      = e24 )
    | ( ( h @ e14 )
      = e22 )
    | ( ( h @ e14 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('27',plain,
    ( ( h @ e14 )
    = e20 ),
    inference('sat_resolution*',[status(thm)],['7','8','9','10','11','12','13','14','15','16','0','1','2','3','4','17','18','19','20','21','22','23','24','25','26']) ).

thf(zip_derived_cl1010,plain,
    ( ( h @ e13 )
    = e20 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl937,'27']) ).

thf(zip_derived_cl1011,plain,
    e20 = e21,
    inference(demod,[status(thm)],[zip_derived_cl970,zip_derived_cl1010]) ).

thf(zip_derived_cl19_059,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl1012,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1011,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG180+1 : TPTP v9.2.0. Released v2.7.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sKe9tTK0nF true
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 17:01:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84  % Solved by fo/fo1_av.sh.
% 0.58/0.84  % done 481 iterations in 0.070s
% 0.58/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.84  % SZS output start Refutation
% See solution above
% 0.58/0.85  
% 0.58/0.85  
% 0.58/0.85  % Terminating...
% 1.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------